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svetlana [45]
3 years ago
11

Consecutive angles in a parallelogram are supplementary. What is the value of x?

Mathematics
1 answer:
Naddika [18.5K]3 years ago
8 0

Step-by-step explanation:

HERE,

\angle{PQR=20+2x  } ⠀

\angle{ QRS=6x } ⠀

we know that,

sum of consecutive angle of a parallelogram =180

so,

According to the question,

\angle{PQR}+\angle{QRS}=180 ⠀

\tt{20+2x+6x=180  } ⠀

\tt{8x+20=180  } ⠀

\tt{8x=180-20  } ⠀

\tt{8x=160  } ⠀

\tt{x=\dfrac{160}{20}  } ⠀

\tt{ x=20 } ⠀

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Answer:

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Step-by-step explanation:

The equation of a line in slope- intercept form is

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m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ )  = (1, 4 ) and (x₂, y₂ ) = (2, 2 )

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2 years ago
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3 years ago
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